Answer:
x = 66
Step-by-step explanation:
For a set of N numbers:
{x₁, x₂, ..., xₙ}
The mean can be calculated as:
In this case we have the data set:
{98, 122, 104, 115, 107, x}
And I assume that we want to have the mean = 102.
So we have a set of 6 numbers, the mean of this set will be:
We need to solve this equation for x.
If we multiply both sides by 6, we get:
(98 + 122 + 104 + 115 + 107 + x) = 102*6 = 612
546 + x = 612
x = 612 - 546 = 66
x = 66
Answer:
560 cubes
Step-by-step explanation:
Is 2 213 supposed to read 2 1/3? First calculate the volume of the box
V_box = 8/3 * 10/3 * 7/3 = 560/27 cubic inches
Now calculate the volume of your 1/3 inch cube:
V_cube = 1/3 * 1/3 * 1/3 = 1/27 cubic inches
Now divide the V_box by V_cube:
Number of boxes = (560/27) / (1/27) = (560/27) * (27/1) = 560 cubes
Let the slower train's velocity be x-21
Let the faster train's velocity be x
We know that the approach speed is the sum of both speeds, so x+x -21= 2x-21.
The approach rate is given by Distance/time = 471/3 = 157mpH
x+x-21=157
2x=157+21
2x=178
x=89mph
The slower train is travelling 89-21 = 68mph
The faster train is travelling 89mph.
Answer: The correct answer is Choice D.
If 24 percent of the snack mix is pretzel, we simply need to multiply the total number of ounces by 0.24.
0.24 x 32 = 7.68
7.68 ounces of the snack mix will be pretzels.
Since it's a right triangle you can use the Pythagorean theorem or Trig (Soh Cah Toa).
I'll just use the Pythagorean theorem : a² + b² = c²
a = 9
b = x
c = 18
9² + x² = 18²
81 + x² = 324
x² = 324 - 81
x² = 243
x = √(243)
factor 243 to find a perfect square
x = √(3*81)
x = 9√(3)<u />
